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Finding the Fourth Proportional to 19,783.68, 27,301.28 and 11,400

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Solution

The fourth proportional to 19,783.68, 27,301.28 and 11,400 is: 15,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.68 : 27,301.28 = 11,400 : x
  2. Step 2: Convert to fraction form
    19,783.68/27,301.28 = 11,400/x
  3. Step 3: Cross multiply
    19,783.68x = 27,301.28 × 11,400
  4. Step 4: Simplify right side
    19,783.68x = 311,234,592
  5. Step 5: Solve for x
    x = 311,234,592/19,783.68
  6. Step 6: Final answer
    x = 15,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.